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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

7. Scale Drawings and Models

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Exercise 42 Page 605

The centroid is the point of concurrency of the medians of a triangle. Use the Concurrency of Medians Theorem.

10 23 ≈ 10.7

Practice makes perfect

The centroid is the point of concurrency of the medians of a triangle. In the given diagram, M is the centroid.

Using the Concurrency of Medians Theorem we can write an equation that we can use to find the desired length, TM. TM = 2/3AT We are given that AT=16. We can substitute this into the above equation to find the length of segment TM.

TM = 2/3AT

AT= 16

TM = 2/3 * 16

▼

Evaluate right-hand side

MoveRightFacToNum

a/c* b = a* b/c

TM = 2* 16/3

Multiply

TM = 32/3

Calculate quotient

TM = 10 23

Using a calculator, we can see that the found number is approximately 10.7.

Subchapter links

Exercises p.602-605